Statistical theory of the broadband two-plasmon decay instability

Journal of Plasma Physics Cambridge University Press 90:6 (2024) 905900621

Authors:

Ruskov Rusko, Robert Bingham, Luis Silva, Max Harper, Ramy Aboushelbaya, Jason Myatt, Peter Norreys

Abstract:

There is renewed interest in direct-drive inertial confinement fusion, following the milestone December 2022 3.15 MJ ignition result on the National Ignition Facility. A key obstacle is the control of the two-plasmon decay instability. Here, recent advances in inhomogeneous turbulence theory are applied to the broadband parametric instability problem for the first time. A novel dispersion relation is derived for the two-plasmon decay in a uniform plasma valid under broad-bandwidth laser fields with arbitrary power spectra. The effects of temporal incoherence on the instability are then studied. In the limit of large bandwidth, the well-known scaling relations for the growth rate are recovered, but it is shown that the result is more sensitive to the spectral shape of the laser pulse rather than to its coherence time. The range of wavenumbers of the excited plasma waves is shown to be substantially broadened, suggesting that the absolute instability is favoured in regions further away from the quarter critical density. The intermediate bandwidth regime is explored numerically – the growth rate is reduced to half its monochromatic value for laser intensities of 1015 W/cm2 and relatively modest bandwidths of 5 THz. The instability-quenching properties of a spectrum of discrete lines spread over some bandwidth have also been studied. The reduction in the growth rate is found to be somewhat lower compared to the continuous case but is still significant, despite the fact that, formally, the coherence time of such a laser pulse is infinite.

Electrothermal filamentation of igniting plasmas

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics American Physical Society 110 (2024) 035205

Authors:

Peter Norreys, Heath Martin, robert Paddock, Marko Von Der Leyen, Vadim Eliseev, Rusko Ruskov, Robin Timmis, Jordan Lee, Abigail James

Abstract:

Dense, hot plasmas are susceptible to the electrothermal instability: a collisional process which permits temperature perturbations in electron currents to grow. It is shown here for the first time that linearising a system comprised of two opposing currents and a mobile ion-background as three distinct fluids yields unstable modes with rapid growth rates (∼ 1013 s −1 ) for wavenumbers below a threshold kth. An analytical threshold condition is derived, this being surpassed for typical hot-spot and shell parameters. Particle-in-cell simulations successfully benchmark the predicted growth rates and threshold behaviour. Electrothermal filamentation within the shell will impact the burn wave propagation into the cold fuel and resulting burn dynamics.

Gravitational waves from high-power twisted light

Physical Review D American Physical Society 110 (2024) 044023

Authors:

Eduard Atonga, Killian Martineau, Ramy Aboushelbaya, Marko von der Leyen, Sunny Howard, Jordan Lee, Heath Martin, Iustin Ouatu, Robert Paddock, Rusko Ruskov, Robin Timmis, Peter Norreys

Abstract:

Recent advances in high-energy and high-peak-power laser systems have opened up new possibilities for fundamental physics research. In this work, the potential of twisted light for the generation of gravitational waves in the high frequency regime is explored for the first time. Focusing on Bessel beams, novel analytic expressions and numerical computations for the generated metric perturbations and associated powers are presented. The gravitational peak intensity is shown to reach 1.44 × 10−5 W.m−2 close to the source, and 1.01 × 10−19 W.m−2 ten meters away. Compelling evidence is provided that the properties of the generated gravitational waves, such as frequency, polarisation states and direction of emission, are controllable by the laser pulse parameters and optical arrangements.

Attosecond and nano-Coulomb electron bunches via the Zero Vector Potential mechanism

Scientific Reports Springer Nature 14:1 (2024) 10805

Authors:

Robin Timmis, Robert Paddock, Iustin Ouatu, Jordan Lee, Sunny Howard, Eduard Atonga, Rusko Ruskov, Hannah Martin, Robin Wang, Ramy Aboushelbaya, Marko von der Leyen, Edward Gumbrell, Peter Norreys

Abstract:

The commissioning of multi-petawatt class laser facilities around the world is gathering pace. One of the primary motivations for these investments is the acceleration of high-quality, low-emittance electron bunches. Here we explore the interaction of a high-intensity femtosecond laser pulse with a mass-limited dense target to produce MeV attosecond electron bunches in transmission and confirm with three-dimensional simulation that such bunches have low emittance and nano-Coulomb charge. We then perform a large parameter scan from non-relativistic laser intensities to the laser-QED regime and from the critical plasma density to beyond solid density to demonstrate that the electron bunch energies and the laser pulse energy absorption into the plasma can be quantitatively described via the Zero Vector Potential mechanism. These results have wide-ranging implications for future particle accelerator science and associated technologies.

Energy gain of wetted-foam implosions with auxiliary heating for inertial fusion studies

Plasma Physics and Controlled Fusion IOP Publishing 66:2 (2023) 025005

Authors:

Robert W Paddock, Tat S Li, Eugene Kim, Jordan J Lee, Heath Martin, Rusko T Ruskov, Stephen Hughes, Steven J Rose, Christopher D Murphy, Robbie HH Scott, Robert Bingham, Warren Garbett, Vadim V Elisseev, Brian M Haines, Alex B Zlystra, E Mike Campbell, Cliff A Thomas, Tom Goffrey, Tony D Arber, Ramy Aboushelbaya, Marko W Von der Leyen, Robin HW Wang, Abigail A James, Iustin Ouatu, Robin Timmis, Sunny Howard, Eduard Atonga, Peter A Norreys

Abstract:

Low convergence ratio implosions (where wetted-foam layers are used to limit capsule convergence, achieving improved robustness to instability growth) and auxiliary heating (where electron beams are used to provide collisionless heating of a hotspot) are two promising techniques that are being explored for inertial fusion energy applications. In this paper, a new analytic study is presented to understand and predict the performance of these implosions. Firstly, conventional gain models are adapted to produce gain curves for fixed convergence ratios, which are shown to well-describe previously simulated results. Secondly, auxiliary heating is demonstrated to be well understood and interpreted through the burn-up fraction of the deuterium-tritium fuel, with the gradient of burn-up with respect to burn-averaged temperature shown to provide good qualitative predictions of the effectiveness of this technique for a given implosion. Simulations of auxiliary heating for a range of implosions are presented in support of this and demonstrate that this heating can have significant benefit for high gain implosions, being most effective when the burn-averaged temperature is between 5 and 20 keV.